Integral Bounds Determination in Spherical Coordinates

1. Feb 21, 2012

DHB_Integral

1. The problem statement, all variables and given/known data

How to determine the integral bounds of phi in spherical polar coordinates. Please see my exact question at the end of page 2 of 2 in attachments.

2. Relevant equations

3. The attempt at a solution

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Last edited: Feb 21, 2012
2. Feb 21, 2012

DHB_Integral

I just tried out the integral bounds of phi , it can work getting the correct result. but It cannot convince myself in terms of the bounds of phi, based on the graph on page 1, it should be equal to pi/4. So, how to prove the bounds of phi? Please help with question.